Using commands found in: Analysis > Other > Probability Calculator We obtain the following output: 0 <= X Prob(x <= X) 0.4966 1 0.8442 0.9659 0.9942 4. 0.9992 0.9999 nbore 1.0000 %3D FIGURE 4.4.2 MINITAB calculation of cumulative Poisson probabilities for x = 0 through x = 6and 1= .7. Exercises Singh et al. (A-8) looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel-Lindau (VHL) disease. RCH is a benign vascular tumor of the retina. Using a retrospective consecutive case series review, the researchers found that the number of RCH tumor incidents followed a Poisson distribution with A= 4 tumors per eye for patients with VHL. Using this model, find the probability that in a randomly selected patient with VHL: (a) There are exactly five occurrences of tumors per eye. (b) There are more than five occurrences of tumors per eye. (c) There are fewer than five occurrences of tumors per eye. (d) There are between five and seven occurrences of tumors per eye, inclusive. 4.4.1 %3D Tubert-Bitter et al. (A-9) found that the number of serious gastrointestinal reactions reported to the British Committee on Safety of Medicine was 538 for 9,160,000 pre- scriptions of the anti-inflammatory drug piroxicam. This corresponds to a rate of .058 gastrointestinal reactions per 1000 prescriptions written. Using a Poisson model for 4.4.2 probability, with 2 = .06, find the probability of (a) Exactly one gastrointestinal reaction in 1000 prescriptions (b) Exactly two gastrointestinal reactions in 1000 prescriptions (c) No gastrointestinal reactions in 1000 prescriptions (d) At least one gastrointestinal reaction in 1000 prescriptions %3D 4.4.3 If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be: (a) Exactly seven accidents (b) Ten or more accidents 2. LO tin (c) No accidents (d) Fewer than five accidents Tn a study of the effectiveness of an insectioii In